Mathematics

A polynomial in x whose roots are 4/3 and -3/5 is

A polynomial in x whose roots are 4/3 and –3/5 is
  • A.
    15x2 – 11x – 12
  • B.
    15x2 + 11x – 12
  • C.
    12x2 – x – 12
  • D.
    12x2 + 11x – 15
Correct Answer: Option A
Explanation

If 4/3 and –3/5 are roots of a polynomial
Imply x = 4/3 and – 3/5
3x = 4 and 5x = -3
∴3x-4 = 0 and 5x+3 = 0 are factors
(3x-4)(5x+3) = 0 product of the factors
15x2 + 9x – 20x – 12 = 0 By expansion
15x2 – 11x – 12 = 0